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Finding the Fourth Proportional to 12,167.15, 18,256.80 and 6,906.20

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Solution

The fourth proportional to 12,167.15, 18,256.80 and 6,906.20 is: 10,362.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.15 : 18,256.80 = 6,906.20 : x
  2. Step 2: Convert to fraction form
    12,167.15/18,256.80 = 6,906.20/x
  3. Step 3: Cross multiply
    12,167.15x = 18,256.80 × 6,906.20
  4. Step 4: Simplify right side
    12,167.15x = 126,085,112.16
  5. Step 5: Solve for x
    x = 126,085,112.16/12,167.15
  6. Step 6: Final answer
    x = 10,362.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.